Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [888,2,Mod(49,888)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(888, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("888.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 888 = 2^{3} \cdot 3 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 888.bo (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.09071569949\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 601.4 | ||
Character | \(\chi\) | \(=\) | 888.601 |
Dual form | 888.2.bo.c.625.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/888\mathbb{Z}\right)^\times\).
\(n\) | \(223\) | \(409\) | \(445\) | \(593\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.85598 | + | 2.39645i | 1.27723 | + | 1.07173i | 0.993619 | + | 0.112788i | \(0.0359780\pi\) |
0.283614 | + | 0.958938i | \(0.408466\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.585166 | − | 0.491013i | −0.221172 | − | 0.185585i | 0.525469 | − | 0.850813i | \(-0.323890\pi\) |
−0.746641 | + | 0.665228i | \(0.768334\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.49968 | + | 2.59752i | 0.452170 | + | 0.783181i | 0.998521 | − | 0.0543757i | \(-0.0173169\pi\) |
−0.546351 | + | 0.837556i | \(0.683984\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.665439 | − | 0.242200i | 0.184559 | − | 0.0671741i | −0.248087 | − | 0.968738i | \(-0.579802\pi\) |
0.432647 | + | 0.901564i | \(0.357580\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.85598 | − | 2.39645i | 0.737411 | − | 0.618761i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.13726 | + | 0.777899i | 0.518361 | + | 0.188668i | 0.587934 | − | 0.808909i | \(-0.299941\pi\) |
−0.0695728 | + | 0.997577i | \(0.522164\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.592912 | − | 3.36257i | 0.136023 | − | 0.771427i | −0.838118 | − | 0.545489i | \(-0.816344\pi\) |
0.974142 | − | 0.225938i | \(-0.0725448\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.585166 | + | 0.491013i | −0.127694 | + | 0.107148i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.381940 | + | 0.661540i | −0.0796400 | + | 0.137941i | −0.903095 | − | 0.429442i | \(-0.858710\pi\) |
0.823455 | + | 0.567382i | \(0.192044\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.54540 | + | 8.76441i | 0.309080 | + | 1.75288i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.38934 | + | 7.60256i | 0.815080 | + | 1.41176i | 0.909270 | + | 0.416206i | \(0.136641\pi\) |
−0.0941897 | + | 0.995554i | \(0.530026\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.76785 | −0.856331 | −0.428165 | − | 0.903700i | \(-0.640840\pi\) | ||||
−0.428165 | + | 0.903700i | \(0.640840\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.81847 | − | 1.02584i | 0.490633 | − | 0.178576i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.494535 | − | 2.80465i | −0.0835916 | − | 0.474072i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.04993 | + | 3.39091i | 0.830203 | + | 0.557461i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.122968 | − | 0.697387i | −0.0196907 | − | 0.111671i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.61617 | + | 1.68015i | −0.720925 | + | 0.262395i | −0.676318 | − | 0.736610i | \(-0.736426\pi\) |
−0.0446063 | + | 0.999005i | \(0.514203\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.52668 | 0.232816 | 0.116408 | − | 0.993201i | \(-0.462862\pi\) | ||||
0.116408 | + | 0.993201i | \(0.462862\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.86411 | − | 3.22873i | −0.277885 | − | 0.481311i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.60329 | − | 9.70517i | 0.817323 | − | 1.41565i | −0.0903245 | − | 0.995912i | \(-0.528790\pi\) |
0.907648 | − | 0.419733i | \(-0.137876\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.11421 | − | 6.31901i | −0.159173 | − | 0.902715i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.13721 | − | 1.96971i | 0.159242 | − | 0.275814i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.09133 | − | 1.75483i | 0.287266 | − | 0.241045i | −0.487755 | − | 0.872981i | \(-0.662184\pi\) |
0.775021 | + | 0.631936i | \(0.217739\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.94178 | + | 11.0124i | −0.261829 | + | 1.48491i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.20853 | − | 1.16781i | −0.424980 | − | 0.154680i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.71806 | + | 2.28073i | −0.353862 | + | 0.296925i | −0.802339 | − | 0.596869i | \(-0.796411\pi\) |
0.448477 | + | 0.893794i | \(0.351967\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.305639 | − | 0.111243i | 0.0391330 | − | 0.0142433i | −0.322379 | − | 0.946611i | \(-0.604483\pi\) |
0.361513 | + | 0.932367i | \(0.382260\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.381940 | + | 0.661540i | 0.0481199 | + | 0.0833462i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.48090 | + | 0.902974i | 0.307718 | + | 0.112000i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.97888 | + | 3.33868i | 0.486098 | + | 0.407884i | 0.852625 | − | 0.522523i | \(-0.175009\pi\) |
−0.366528 | + | 0.930407i | \(0.619453\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.585166 | + | 0.491013i | 0.0704457 | + | 0.0591110i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.46222 | − | 8.29267i | 0.173534 | − | 0.984159i | −0.766289 | − | 0.642496i | \(-0.777899\pi\) |
0.939823 | − | 0.341663i | \(-0.110990\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.28253 | −1.08644 | −0.543219 | − | 0.839591i | \(-0.682795\pi\) | ||||
−0.543219 | + | 0.839591i | \(0.682795\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.89961 | 1.02764 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.397853 | − | 2.25634i | 0.0453396 | − | 0.257134i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.79079 | + | 5.69815i | 0.764023 | + | 0.641091i | 0.939171 | − | 0.343451i | \(-0.111596\pi\) |
−0.175148 | + | 0.984542i | \(0.556040\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.02771 | − | 0.374056i | −0.112806 | − | 0.0410580i | 0.285001 | − | 0.958527i | \(-0.408006\pi\) |
−0.397806 | + | 0.917469i | \(0.630228\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.23977 | + | 7.34350i | 0.459868 | + | 0.796515i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 8.24927 | − | 3.00249i | 0.884414 | − | 0.321900i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.125961 | + | 0.105694i | −0.0133519 | + | 0.0112036i | −0.649439 | − | 0.760414i | \(-0.724996\pi\) |
0.636087 | + | 0.771617i | \(0.280552\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.508315 | − | 0.185012i | −0.0532859 | − | 0.0193945i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.827928 | + | 4.69541i | −0.0858522 | + | 0.486892i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 9.75159 | − | 8.18256i | 1.00049 | − | 0.839513i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.40886 | + | 7.63637i | −0.447652 | + | 0.775355i | −0.998233 | − | 0.0594263i | \(-0.981073\pi\) |
0.550581 | + | 0.834782i | \(0.314406\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.520832 | − | 2.95379i | −0.0523456 | − | 0.296867i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.05085 | − | 15.6765i | 0.900593 | − | 1.55987i | 0.0738664 | − | 0.997268i | \(-0.476466\pi\) |
0.826726 | − | 0.562604i | \(-0.190201\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.906253 | − | 1.56968i | −0.0892957 | − | 0.154665i | 0.817918 | − | 0.575335i | \(-0.195128\pi\) |
−0.907214 | + | 0.420670i | \(0.861795\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.84791 | −0.277928 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.19247 | − | 1.52594i | 0.405302 | − | 0.147518i | −0.131321 | − | 0.991340i | \(-0.541922\pi\) |
0.536623 | + | 0.843822i | \(0.319700\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.549855 | − | 3.11838i | −0.0526666 | − | 0.298687i | 0.947085 | − | 0.320983i | \(-0.104013\pi\) |
−0.999751 | + | 0.0222964i | \(0.992902\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.21630 | − | 4.38438i | 0.400194 | − | 0.416147i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.35688 | − | 13.3666i | −0.221717 | − | 1.25742i | −0.868863 | − | 0.495053i | \(-0.835149\pi\) |
0.647146 | − | 0.762366i | \(-0.275963\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.67616 | + | 0.974043i | −0.249553 | + | 0.0908300i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.708145 | −0.0654680 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.868694 | − | 1.50462i | −0.0796330 | − | 0.137928i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00194 | − | 1.73541i | 0.0910854 | − | 0.157765i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.853034 | + | 4.83779i | 0.0769155 | + | 0.436209i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.26931 | + | 12.5908i | −0.650187 | + | 1.12616i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.79685 | + | 8.22053i | −0.869330 | + | 0.729454i | −0.963957 | − | 0.266059i | \(-0.914279\pi\) |
0.0946273 | + | 0.995513i | \(0.469834\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.265105 | − | 1.50348i | 0.0233412 | − | 0.132374i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −17.3547 | − | 6.31660i | −1.51629 | − | 0.551884i | −0.556070 | − | 0.831136i | \(-0.687691\pi\) |
−0.960218 | + | 0.279252i | \(0.909913\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.99802 | + | 1.67654i | −0.173250 | + | 0.145374i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.50338 | + | 1.27513i | −0.301523 | + | 0.109745i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.18469 | + | 14.1763i | 0.699266 | + | 1.21116i | 0.968721 | + | 0.248151i | \(0.0798229\pi\) |
−0.269456 | + | 0.963013i | \(0.586844\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.87169 | + | 1.04521i | 0.243574 | + | 0.0886537i | 0.460922 | − | 0.887440i | \(-0.347519\pi\) |
−0.217349 | + | 0.976094i | \(0.569741\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.58473 | − | 7.20344i | −0.722965 | − | 0.606639i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.62706 | + | 1.36527i | 0.136062 | + | 0.114169i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.68331 | + | 32.2316i | −0.471973 | + | 2.67669i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.41649 | −0.529223 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.99238 | −0.654761 | −0.327380 | − | 0.944893i | \(-0.606166\pi\) | ||||
−0.327380 | + | 0.944893i | \(0.606166\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.97374 | − | 16.8649i | 0.242000 | − | 1.37245i | −0.585359 | − | 0.810774i | \(-0.699046\pi\) |
0.827359 | − | 0.561674i | \(-0.189842\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.74231 | − | 1.46197i | −0.140857 | − | 0.118193i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.6169 | − | 11.4259i | −1.09373 | − | 0.917752i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.1814 | − | 5.52559i | −1.21161 | − | 0.440990i | −0.344348 | − | 0.938842i | \(-0.611900\pi\) |
−0.867262 | + | 0.497852i | \(0.834122\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.36502 | − | 2.36428i | −0.108253 | − | 0.187500i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.548323 | − | 0.199573i | 0.0432139 | − | 0.0157286i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.23541 | + | 6.91033i | −0.645047 | + | 0.541259i | −0.905564 | − | 0.424210i | \(-0.860552\pi\) |
0.260516 | + | 0.965469i | \(0.416107\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 10.5079 | + | 3.82455i | 0.818037 | + | 0.297741i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.554040 | − | 3.14212i | 0.0428729 | − | 0.243145i | −0.955839 | − | 0.293892i | \(-0.905049\pi\) |
0.998712 | + | 0.0507477i | \(0.0161604\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.57443 | + | 8.03390i | −0.736495 | + | 0.617992i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.70722 | + | 2.95700i | −0.130555 | + | 0.226127i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.22603 | − | 12.6245i | −0.169242 | − | 0.959820i | −0.944582 | − | 0.328276i | \(-0.893532\pi\) |
0.775340 | − | 0.631544i | \(-0.217579\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.39912 | − | 5.88745i | 0.256949 | − | 0.445049i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.77409 | + | 3.07281i | 0.133349 | + | 0.230967i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −18.1558 | −1.35703 | −0.678515 | − | 0.734587i | \(-0.737376\pi\) | ||||
−0.678515 | + | 0.734587i | \(0.737376\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.05470 | + | 2.56770i | −0.524372 | + | 0.190856i | −0.590624 | − | 0.806947i | \(-0.701118\pi\) |
0.0662516 | + | 0.997803i | \(0.478896\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.0564798 | − | 0.320313i | −0.00417511 | − | 0.0236782i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.29635 | + | 21.7863i | 0.462917 | + | 1.60176i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.18459 | + | 6.71816i | 0.0866260 | + | 0.491281i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.717813 | − | 0.261262i | 0.0522132 | − | 0.0190040i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.3334 | −1.39892 | −0.699458 | − | 0.714674i | \(-0.746575\pi\) | ||||
−0.699458 | + | 0.714674i | \(0.746575\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.56615 | + | 2.71266i | 0.112734 | + | 0.195261i | 0.916872 | − | 0.399182i | \(-0.130706\pi\) |
−0.804138 | + | 0.594443i | \(0.797372\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.32006 | − | 2.28641i | 0.0945314 | − | 0.163733i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.374905 | − | 2.12619i | −0.0267109 | − | 0.151485i | 0.968535 | − | 0.248876i | \(-0.0800613\pi\) |
−0.995246 | + | 0.0973913i | \(0.968950\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.4258 | + | 21.5221i | −0.880840 | + | 1.52566i | −0.0304309 | + | 0.999537i | \(0.509688\pi\) |
−0.850409 | + | 0.526122i | \(0.823645\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.97888 | − | 3.33868i | 0.280649 | − | 0.235492i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.16446 | − | 6.60399i | 0.0817291 | − | 0.463509i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.2101 | − | 6.26396i | −1.20200 | − | 0.437494i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.585166 | − | 0.491013i | 0.0406719 | − | 0.0341277i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.62351 | − | 3.50267i | 0.665672 | − | 0.242285i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.75574 | − | 16.8974i | −0.671613 | − | 1.16327i | −0.977447 | − | 0.211182i | \(-0.932269\pi\) |
0.305834 | − | 0.952085i | \(-0.401065\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.91277 | − | 2.88001i | −0.542174 | − | 0.197335i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.36016 | + | 3.65861i | 0.297361 | + | 0.249515i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.78998 | + | 2.34107i | 0.189396 | + | 0.158922i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.61189 | + | 9.14151i | −0.108922 | + | 0.617726i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.61062 | 0.108342 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.00165 | 0.134040 | 0.0670201 | − | 0.997752i | \(-0.478651\pi\) | ||||
0.0670201 | + | 0.997752i | \(0.478651\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.54540 | − | 8.76441i | 0.103027 | − | 0.584294i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.9784 | − | 15.0856i | −1.19327 | − | 1.00127i | −0.999797 | − | 0.0201630i | \(-0.993581\pi\) |
−0.193470 | − | 0.981106i | \(-0.561974\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.5538 | − | 17.2467i | −1.35823 | − | 1.13969i | −0.976524 | − | 0.215409i | \(-0.930892\pi\) |
−0.381708 | − | 0.924283i | \(-0.624664\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.15297 | − | 0.783618i | −0.141655 | − | 0.0515583i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.76831 | + | 3.06281i | 0.115846 | + | 0.200651i | 0.918118 | − | 0.396308i | \(-0.129709\pi\) |
−0.802272 | + | 0.596959i | \(0.796375\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 39.2609 | − | 14.2898i | 2.56110 | − | 0.932163i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.79079 | − | 5.69815i | 0.441109 | − | 0.370134i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.6083 | + | 8.22874i | 1.46241 | + | 0.532273i | 0.946028 | − | 0.324086i | \(-0.105057\pi\) |
0.516381 | + | 0.856359i | \(0.327279\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.49091 | − | 8.45535i | 0.0960377 | − | 0.544657i | −0.898387 | − | 0.439205i | \(-0.855260\pi\) |
0.994424 | − | 0.105451i | \(-0.0336288\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.9610 | − | 20.7171i | 0.764162 | − | 1.32357i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.419868 | − | 2.38119i | −0.0267155 | − | 0.151511i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.546833 | + | 0.947143i | −0.0346541 | + | 0.0600227i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.96326 | + | 15.5248i | 0.565756 | + | 0.979918i | 0.996979 | + | 0.0776725i | \(0.0247489\pi\) |
−0.431223 | + | 0.902245i | \(0.641918\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.29115 | −0.144043 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.96817 | − | 2.90018i | 0.498986 | − | 0.181616i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.90197 | + | 22.1292i | 0.243398 | + | 1.38038i | 0.824184 | + | 0.566323i | \(0.191634\pi\) |
−0.580786 | + | 0.814057i | \(0.697255\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.29007 | − | 4.46382i | −0.0801610 | − | 0.277368i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.52440 | − | 8.64532i | −0.0943582 | − | 0.535132i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −17.6717 | + | 6.43198i | −1.08969 | + | 0.396613i | −0.823504 | − | 0.567310i | \(-0.807984\pi\) |
−0.266181 | + | 0.963923i | \(0.585762\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.1782 | 0.625240 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.0822155 | + | 0.142401i | 0.00503151 | + | 0.00871482i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 7.11607 | − | 12.3254i | 0.433875 | − | 0.751493i | −0.563329 | − | 0.826233i | \(-0.690479\pi\) |
0.997203 | + | 0.0747403i | \(0.0238128\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.659909 | − | 3.74253i | −0.0400866 | − | 0.227343i | 0.958182 | − | 0.286159i | \(-0.0923785\pi\) |
−0.998269 | + | 0.0588163i | \(0.981267\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.270469 | + | 0.468466i | −0.0163695 | + | 0.0283529i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −20.4481 | + | 17.1580i | −1.23307 | + | 1.03467i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.64697 | − | 26.3543i | 0.279209 | − | 1.58347i | −0.446056 | − | 0.895005i | \(-0.647172\pi\) |
0.725265 | − | 0.688470i | \(-0.241717\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.48031 | + | 1.63070i | 0.268229 | + | 0.0976275i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.2170 | − | 8.57305i | 0.609493 | − | 0.511426i | −0.284988 | − | 0.958531i | \(-0.591990\pi\) |
0.894481 | + | 0.447106i | \(0.147545\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 27.5810 | − | 10.0387i | 1.63952 | − | 0.596737i | 0.652566 | − | 0.757732i | \(-0.273693\pi\) |
0.986955 | + | 0.160995i | \(0.0514703\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.36490 | − | 11.0243i | −0.377024 | − | 0.653025i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.52620 | + | 1.28343i | 0.208145 | + | 0.0757586i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.06001 | − | 7.60225i | −0.532942 | − | 0.447191i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.75476 | + | 5.66792i | 0.395971 | + | 0.332259i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.88949 | + | 22.0584i | −0.227226 | + | 1.28866i | 0.631157 | + | 0.775655i | \(0.282580\pi\) |
−0.858383 | + | 0.513009i | \(0.828531\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.2284 | −0.770187 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.99935 | −0.174040 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0939329 | + | 0.532720i | −0.00543228 | + | 0.0308080i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.893360 | − | 0.749618i | −0.0514924 | − | 0.0432073i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.8667 | − | 11.6355i | −0.796621 | − | 0.668444i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.13949 | + | 0.414740i | 0.0652469 | + | 0.0237479i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.46672 | + | 12.9327i | 0.426148 | + | 0.738110i | 0.996527 | − | 0.0832715i | \(-0.0265369\pi\) |
−0.570379 | + | 0.821382i | \(0.693204\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.70320 | + | 0.619913i | −0.0968916 | + | 0.0352656i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.04270 | − | 1.71403i | 0.115831 | − | 0.0971936i | −0.583033 | − | 0.812449i | \(-0.698134\pi\) |
0.698863 | + | 0.715255i | \(0.253690\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.16799 | − | 0.425112i | −0.0660185 | − | 0.0240288i | 0.308800 | − | 0.951127i | \(-0.400073\pi\) |
−0.374818 | + | 0.927098i | \(0.622295\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.494535 | + | 2.80465i | −0.0278639 | + | 0.158024i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 24.4484 | − | 20.5146i | 1.37316 | − | 1.15222i | 0.401490 | − | 0.915863i | \(-0.368492\pi\) |
0.971667 | − | 0.236353i | \(-0.0759520\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.1652 | + | 22.8028i | −0.737109 | + | 1.27671i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.774738 | − | 4.39376i | −0.0432416 | − | 0.245236i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.88295 | − | 6.72546i | 0.216053 | − | 0.374215i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.15111 | + | 5.45788i | 0.174792 | + | 0.302749i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.16649 | −0.175107 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.04422 | + | 2.92786i | −0.443492 | + | 0.161418i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.28280 | + | 24.2890i | 0.235404 | + | 1.33504i | 0.841761 | + | 0.539850i | \(0.181519\pi\) |
−0.606358 | + | 0.795192i | \(0.707370\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.58562 | − | 4.91359i | −0.196491 | − | 0.269263i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.36263 | + | 19.0704i | 0.183720 | + | 1.04193i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.93026 | − | 1.43050i | 0.214095 | − | 0.0779241i | −0.232746 | − | 0.972537i | \(-0.574771\pi\) |
0.446841 | + | 0.894613i | \(0.352549\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −13.5728 | −0.737171 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.15023 | − | 12.3846i | −0.387207 | − | 0.670662i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.12429 | + | 8.87554i | −0.276686 | + | 0.479234i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.494535 | + | 2.80465i | 0.0266249 | + | 0.150997i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −17.5188 | + | 30.3435i | −0.940460 | + | 1.62892i | −0.175865 | + | 0.984414i | \(0.556272\pi\) |
−0.764596 | + | 0.644510i | \(0.777061\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.63920 | + | 5.57095i | −0.355388 | + | 0.298206i | −0.802949 | − | 0.596047i | \(-0.796737\pi\) |
0.447561 | + | 0.894253i | \(0.352293\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.122968 | + | 0.697387i | −0.00656355 | + | 0.0372237i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 32.4695 | + | 11.8179i | 1.72818 | + | 0.629005i | 0.998498 | − | 0.0547863i | \(-0.0174478\pi\) |
0.729678 | + | 0.683791i | \(0.239670\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 24.0491 | − | 20.1796i | 1.27639 | − | 1.07102i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.63261 | + | 0.594221i | −0.0864069 | + | 0.0314495i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.99659 | − | 17.3146i | −0.527600 | − | 0.913829i | −0.999482 | − | 0.0321681i | \(-0.989759\pi\) |
0.471883 | − | 0.881661i | \(-0.343575\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.89881 | + | 2.51096i | 0.363095 | + | 0.132156i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.53506 | − | 1.28807i | −0.0805698 | − | 0.0676061i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −26.5107 | − | 22.2451i | −1.38763 | − | 1.16436i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.159093 | − | 0.902263i | 0.00830461 | − | 0.0470978i | −0.980374 | − | 0.197147i | \(-0.936832\pi\) |
0.988678 | + | 0.150050i | \(0.0479434\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.91242 | 0.255731 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.08542 | −0.108270 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.93440 | − | 16.6418i | 0.151937 | − | 0.861680i | −0.809595 | − | 0.586989i | \(-0.800313\pi\) |
0.961532 | − | 0.274691i | \(-0.0885756\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.1372 | + | 9.34524i | 0.575124 | + | 0.482586i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.76218 | + | 3.99594i | 0.245265 | + | 0.205801i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.40320 | − | 2.69455i | −0.380277 | − | 0.138410i | 0.144807 | − | 0.989460i | \(-0.453744\pi\) |
−0.525084 | + | 0.851050i | \(0.675966\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.39444 | + | 11.0755i | 0.327597 | + | 0.567415i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.20827 | − | 0.803745i | 0.112837 | − | 0.0410694i | −0.284984 | − | 0.958532i | \(-0.591988\pi\) |
0.397822 | + | 0.917463i | \(0.369766\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.54347 | − | 5.49062i | 0.333486 | − | 0.279828i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.43461 | − | 0.522155i | −0.0729252 | − | 0.0265426i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.24312 | − | 7.05007i | 0.0630286 | − | 0.357453i | −0.936940 | − | 0.349491i | \(-0.886355\pi\) |
0.999968 | − | 0.00796177i | \(-0.00253434\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.33092 | + | 1.11677i | −0.0673073 | + | 0.0564775i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −9.23425 | + | 15.9942i | −0.465806 | + | 0.806800i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.73902 | + | 32.5476i | 0.288761 | + | 1.63765i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.58725 | + | 13.1415i | −0.380793 | + | 0.659553i | −0.991176 | − | 0.132554i | \(-0.957682\pi\) |
0.610383 | + | 0.792107i | \(0.291016\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.30411 | + | 2.25879i | 0.0652873 | + | 0.113081i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.32332 | −0.465584 | −0.232792 | − | 0.972527i | \(-0.574786\pi\) | ||||
−0.232792 | + | 0.972527i | \(0.574786\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.17271 | + | 1.15477i | −0.158044 | + | 0.0575233i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.647398 | + | 3.67158i | 0.0321695 | + | 0.182442i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.23468 | + | 18.2025i | −0.0612006 | + | 0.902266i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.79905 | − | 27.2167i | −0.237298 | − | 1.34578i | −0.837721 | − | 0.546099i | \(-0.816112\pi\) |
0.600423 | − | 0.799682i | \(-0.294999\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 15.3822 | − | 5.59866i | 0.758748 | − | 0.276162i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.71038 | 0.133369 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.03871 | − | 3.53116i | −0.100077 | − | 0.173338i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.52800 | − | 2.64657i | 0.0748263 | − | 0.129603i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.840202 | + | 4.76502i | 0.0410465 | + | 0.232787i | 0.998429 | − | 0.0560378i | \(-0.0178467\pi\) |
−0.957382 | + | 0.288824i | \(0.906736\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.4999 | − | 23.3825i | 0.657944 | − | 1.13959i | −0.323203 | − | 0.946330i | \(-0.604760\pi\) |
0.981147 | − | 0.193263i | \(-0.0619072\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.58473 | + | 7.20344i | −0.417404 | + | 0.350243i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.51490 | + | 19.9340i | −0.170498 | + | 0.966940i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.233471 | − | 0.0849767i | −0.0112985 | − | 0.00411231i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.62706 | − | 1.36527i | 0.0785552 | − | 0.0659157i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 22.1316 | − | 8.05525i | 1.06604 | − | 0.388008i | 0.251347 | − | 0.967897i | \(-0.419126\pi\) |
0.814695 | + | 0.579889i | \(0.196904\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.4407 | + | 19.8159i | 0.549806 | + | 0.952292i | 0.998287 | + | 0.0584996i | \(0.0186316\pi\) |
−0.448482 | + | 0.893792i | \(0.648035\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 30.7551 | + | 11.1939i | 1.47459 | + | 0.536708i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.99802 | + | 1.67654i | 0.0955782 | + | 0.0801996i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.8385 | + | 9.09458i | 0.517293 | + | 0.434061i | 0.863687 | − | 0.504029i | \(-0.168149\pi\) |
−0.346394 | + | 0.938089i | \(0.612594\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.11421 | + | 6.31901i | −0.0530577 | + | 0.300905i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.36923 | −0.0650539 | −0.0325270 | − | 0.999471i | \(-0.510355\pi\) | ||||
−0.0325270 | + | 0.999471i | \(0.510355\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.613035 | −0.0290606 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.38786 | + | 7.87095i | −0.0656436 | + | 0.372283i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.86123 | + | 4.07905i | 0.229415 | + | 0.192502i | 0.750248 | − | 0.661156i | \(-0.229934\pi\) |
−0.520833 | + | 0.853659i | \(0.674378\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.2870 | − | 9.47090i | −0.531483 | − | 0.445967i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −16.0923 | − | 5.85713i | −0.756083 | − | 0.275192i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.00837 | − | 1.74654i | −0.0472730 | − | 0.0818792i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.97593 | − | 3.63094i | 0.466655 | − | 0.169848i | −0.0979818 | − | 0.995188i | \(-0.531239\pi\) |
0.564636 | + | 0.825340i | \(0.309016\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.74231 | + | 1.46197i | −0.0813240 | + | 0.0682390i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 39.4060 | + | 14.3426i | 1.83532 | + | 0.668002i | 0.991288 | + | 0.131712i | \(0.0420475\pi\) |
0.844034 | + | 0.536290i | \(0.180175\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.56861 | + | 14.5673i | −0.119373 | + | 0.676999i | 0.865118 | + | 0.501568i | \(0.167243\pi\) |
−0.984492 | + | 0.175431i | \(0.943868\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −13.6169 | + | 11.4259i | −0.631468 | + | 0.529865i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.96688 | − | 8.60288i | 0.229840 | − | 0.398094i | −0.727921 | − | 0.685661i | \(-0.759513\pi\) |
0.957760 | + | 0.287567i | \(0.0928465\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.688974 | − | 3.90736i | −0.0318138 | − | 0.180425i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.07787 | + | 13.9913i | −0.372208 | + | 0.644684i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.28952 | + | 3.96557i | 0.105272 | + | 0.182337i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 30.3872 | 1.39426 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.56539 | + | 0.933727i | −0.117461 | + | 0.0427524i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.59002 | − | 26.0313i | −0.209723 | − | 1.18940i | −0.889832 | − | 0.456289i | \(-0.849178\pi\) |
0.680108 | − | 0.733112i | \(-0.261933\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.18169 | + | 1.03335i | 0.190669 | + | 0.0471166i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.101326 | − | 0.574648i | −0.00461049 | − | 0.0261474i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −30.8918 | + | 11.2437i | −1.40272 | + | 0.510550i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.1652 | −0.777831 | −0.388916 | − | 0.921273i | \(-0.627150\pi\) | ||||
−0.388916 | + | 0.921273i | \(0.627150\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.37528 | + | 9.31027i | 0.243079 | + | 0.421025i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.60661 | + | 11.4430i | −0.298152 | + | 0.516414i | −0.975713 | − | 0.219052i | \(-0.929704\pi\) |
0.677561 | + | 0.735466i | \(0.263037\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.46714 | + | 19.6631i | 0.156152 | + | 0.885582i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5.59112 | − | 9.68411i | 0.251302 | − | 0.435268i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −4.92745 | + | 4.13462i | −0.221026 | + | 0.185463i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.823590 | + | 4.67081i | −0.0368689 | + | 0.209094i | −0.997677 | − | 0.0681198i | \(-0.978300\pi\) |
0.960808 | + | 0.277214i | \(0.0894111\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.99818 | − | 1.09125i | −0.133949 | − | 0.0487533i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 22.8884 | − | 19.2056i | 1.02054 | − | 0.856337i | 0.0308470 | − | 0.999524i | \(-0.490180\pi\) |
0.989696 | + | 0.143187i | \(0.0457351\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 63.4171 | − | 23.0819i | 2.82202 | − | 1.02713i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.24927 | + | 10.8240i | 0.277540 | + | 0.480713i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −20.4994 | − | 7.46116i | −0.908618 | − | 0.330710i | −0.154917 | − | 0.987927i | \(-0.549511\pi\) |
−0.753701 | + | 0.657217i | \(0.771733\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.43182 | + | 4.55784i | 0.240290 | + | 0.201627i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.61562 | + | 2.19476i | 0.115482 | + | 0.0969012i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.17341 | − | 6.65476i | 0.0517068 | − | 0.293244i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 33.6125 | 1.47827 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.8192 | −0.562701 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.24343 | − | 35.4083i | 0.273530 | − | 1.55126i | −0.470064 | − | 0.882632i | \(-0.655769\pi\) |
0.743594 | − | 0.668632i | \(-0.233120\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.06882 | − | 3.41415i | −0.177917 | − | 0.149290i | 0.549480 | − | 0.835507i | \(-0.314826\pi\) |
−0.727397 | + | 0.686216i | \(0.759270\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.20775 | − | 4.36982i | −0.227285 | − | 0.190715i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −10.1901 | − | 3.70890i | −0.443889 | − | 0.161562i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.2082 | + | 19.4132i | 0.487315 | + | 0.844054i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.33420 | − | 1.21355i | 0.144692 | − | 0.0526636i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.66485 | + | 2.23607i | −0.115427 | + | 0.0968550i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.6305 | + | 5.68902i | 0.675764 | + | 0.245958i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.15272 | + | 17.8800i | −0.136050 | + | 0.771579i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14.7428 | − | 12.3706i | 0.635016 | − | 0.532842i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.97603 | − | 17.2790i | 0.428903 | − | 0.742882i | −0.567873 | − | 0.823116i | \(-0.692234\pi\) |
0.996776 | + | 0.0802343i | \(0.0255669\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.30366 | + | 7.39340i | 0.0559453 | + | 0.317281i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 5.90268 | − | 10.2237i | 0.252843 | − | 0.437937i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.42616 | + | 7.66634i | 0.189249 | + | 0.327789i | 0.945000 | − | 0.327070i | \(-0.106061\pi\) |
−0.755751 | + | 0.654859i | \(0.772728\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.325254 | −0.0138815 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 28.1667 | − | 10.2518i | 1.19994 | − | 0.436743i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.17588 | − | 6.66872i | −0.0500033 | − | 0.283583i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 22.5486 | − | 2.41755i | 0.957136 | − | 0.102619i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.39239 | + | 7.89661i | 0.0589973 | + | 0.334590i | 0.999993 | − | 0.00382916i | \(-0.00121886\pi\) |
−0.940995 | + | 0.338419i | \(0.890108\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.01591 | − | 0.369761i | 0.0429684 | − | 0.0156392i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.82180 | 0.288017 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −14.6161 | − | 25.3158i | −0.615994 | − | 1.06693i | −0.990209 | − | 0.139591i | \(-0.955421\pi\) |
0.374215 | − | 0.927342i | \(-0.377912\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.3011 | − | 43.8228i | 1.06443 | − | 1.84364i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.132646 | − | 0.752275i | −0.00557063 | − | 0.0315926i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.72444 | + | 4.71888i | −0.114215 | + | 0.197826i | −0.917466 | − | 0.397815i | \(-0.869768\pi\) |
0.803251 | + | 0.595641i | \(0.203102\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.6585 | + | 12.2999i | −0.613438 | + | 0.514736i | −0.895733 | − | 0.444592i | \(-0.853349\pi\) |
0.282295 | + | 0.959328i | \(0.408904\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.35721 | + | 19.0397i | −0.140249 | + | 0.795394i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.38825 | − | 2.32513i | −0.266409 | − | 0.0969648i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.8685 | + | 14.1544i | −0.702245 | + | 0.589253i | −0.922411 | − | 0.386209i | \(-0.873784\pi\) |
0.220166 | + | 0.975462i | \(0.429340\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.94341 | − | 1.07131i | 0.122324 | − | 0.0445222i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.417715 | + | 0.723504i | 0.0173297 | + | 0.0300160i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.69452 | + | 2.80058i | 0.318675 | + | 0.115988i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.02245 | − | 1.69704i | −0.0836180 | − | 0.0701638i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.2897 | − | 11.1514i | −0.548523 | − | 0.460266i | 0.325917 | − | 0.945398i | \(-0.394327\pi\) |
−0.874441 | + | 0.485133i | \(0.838771\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.82692 | + | 16.0322i | −0.116481 | + | 0.660597i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.15899 | −0.0888091 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −43.2482 | −1.77599 | −0.887995 | − | 0.459853i | \(-0.847902\pi\) | ||||
−0.887995 | + | 0.459853i | \(0.847902\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.12478 | − | 6.37895i | 0.0461115 | − | 0.261512i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 19.0374 | + | 15.9743i | 0.779149 | + | 0.653783i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 34.5475 | + | 28.9888i | 1.41157 | + | 1.18445i | 0.955677 | + | 0.294416i | \(0.0951251\pi\) |
0.455895 | + | 0.890034i | \(0.349319\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.1578 | − | 8.42877i | −0.944628 | − | 0.343817i | −0.176636 | − | 0.984276i | \(-0.556522\pi\) |
−0.767992 | + | 0.640460i | \(0.778744\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.59703 | − | 4.49819i | −0.105759 | − | 0.183180i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.02035 | − | 2.55520i | 0.285418 | − | 0.103884i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.4319 | − | 18.8226i | 0.910484 | − | 0.763987i | −0.0617272 | − | 0.998093i | \(-0.519661\pi\) |
0.972211 | + | 0.234106i | \(0.0752164\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.30145 | − | 2.29354i | −0.255348 | − | 0.0929390i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.37805 | − | 7.81531i | 0.0557500 | − | 0.316174i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 31.1127 | − | 26.1066i | 1.25663 | − | 1.05444i | 0.260596 | − | 0.965448i | \(-0.416081\pi\) |
0.996033 | − | 0.0889891i | \(-0.0283636\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.15730 | + | 15.8609i | −0.369258 | + | 0.639573i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.69647 | + | 9.62117i | 0.0682974 | + | 0.387334i | 0.999726 | + | 0.0234095i | \(0.00745216\pi\) |
−0.931429 | + | 0.363924i | \(0.881437\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.80947 | + | 3.13409i | −0.0727287 | + | 0.125970i | −0.900096 | − | 0.435691i | \(-0.856504\pi\) |
0.827368 | + | 0.561661i | \(0.189837\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.381940 | − | 0.661540i | −0.0153267 | − | 0.0265467i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.125606 | 0.00503228 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.11977 | + | 3.31932i | −0.364791 | + | 0.132773i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.77835 | − | 10.0855i | −0.0710206 | − | 0.402778i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.15522 | + | 11.1756i | 0.325170 | + | 0.445599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.58826 | − | 37.3639i | −0.262274 | − | 1.48743i | −0.776686 | − | 0.629888i | \(-0.783101\pi\) |
0.514411 | − | 0.857544i | \(-0.328010\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −18.3348 | + | 6.67332i | −0.728742 | + | 0.265241i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −47.6797 | −1.89211 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.27190 | − | 3.93505i | −0.0900160 | − | 0.155912i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.21030 | + | 7.29245i | −0.166557 | + | 0.288485i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.14617 | − | 6.50026i | −0.0452710 | − | 0.256745i | 0.953770 | − | 0.300539i | \(-0.0971665\pi\) |
−0.999041 | + | 0.0437941i | \(0.986055\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.7396 | + | 18.6015i | −0.423527 | + | 0.733571i | −0.996282 | − | 0.0861564i | \(-0.972542\pi\) |
0.572754 | + | 0.819727i | \(0.305875\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.36016 | − | 3.65861i | 0.171681 | − | 0.144058i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.49876 | + | 42.5276i | −0.294807 | + | 1.67193i | 0.373181 | + | 0.927759i | \(0.378267\pi\) |
−0.667988 | + | 0.744172i | \(0.732844\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.0004 | − | 3.63986i | −0.392552 | − | 0.142877i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.78998 | − | 2.34107i | 0.109348 | − | 0.0917539i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 19.5234 | − | 7.10595i | 0.764011 | − | 0.278077i | 0.0695219 | − | 0.997580i | \(-0.477853\pi\) |
0.694489 | + | 0.719503i | \(0.255630\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −34.4273 | − | 59.6298i | −1.34519 | − | 2.32993i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 8.72272 | + | 3.17481i | 0.340306 | + | 0.123861i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 37.2188 | + | 31.2303i | 1.44984 | + | 1.21656i | 0.932699 | + | 0.360657i | \(0.117447\pi\) |
0.517139 | + | 0.855902i | \(0.326997\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.0974 | − | 21.8983i | −1.01507 | − | 0.851745i | −0.0260702 | − | 0.999660i | \(-0.508299\pi\) |
−0.989000 | + | 0.147915i | \(0.952744\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.279682 | − | 1.58615i | 0.0108619 | − | 0.0616011i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −9.72404 | −0.377082 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.70586 | −0.259652 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.347582 | − | 1.97124i | 0.0134383 | − | 0.0762125i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.747316 | + | 0.627073i | 0.0288498 | + | 0.0242079i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.84930 | − | 4.90815i | −0.225474 | − | 0.189195i | 0.523052 | − | 0.852301i | \(-0.324794\pi\) |
−0.748526 | + | 0.663106i | \(0.769238\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −8.36290 | − | 3.04385i | −0.321888 | − | 0.117158i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.86008 | + | 11.8820i | 0.263654 | + | 0.456663i | 0.967210 | − | 0.253977i | \(-0.0817389\pi\) |
−0.703556 | + | 0.710640i | \(0.748406\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.32947 | − | 2.30374i | 0.242903 | − | 0.0884093i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −17.9784 | + | 15.0856i | −0.688933 | + | 0.578083i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.3115 | − | 5.20895i | −0.547614 | − | 0.199315i | 0.0533723 | − | 0.998575i | \(-0.483003\pi\) |
−0.600986 | + | 0.799260i | \(0.705225\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.5975 | + | 60.1015i | −0.404910 | + | 2.29636i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.5538 | + | 17.2467i | −0.784176 | + | 0.658001i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.966630 | − | 1.67425i | 0.0368257 | − | 0.0637840i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.03276 | − | 45.5560i | −0.305581 | − | 1.73303i | −0.620759 | − | 0.784001i | \(-0.713176\pi\) |
0.315179 | − | 0.949032i | \(-0.397935\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.14557 | + | 1.98419i | −0.0435167 | + | 0.0753732i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.69670 | + | 9.86698i | 0.216088 | + | 0.374276i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.1729 | −0.423205 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.32334 | − | 1.20960i | 0.125700 | − | 0.0457512i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.928540 | − | 5.26601i | −0.0350705 | − | 0.198895i | 0.962238 | − | 0.272208i | \(-0.0877538\pi\) |
−0.997309 | + | 0.0733133i | \(0.976643\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.3963 | − | 14.9702i | 0.542968 | − | 0.564613i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.25512 | − | 41.1458i | −0.273243 | − | 1.54964i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.9936 | + | 4.72929i | −0.488675 | + | 0.177863i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.7566 | −0.516641 | −0.258321 | − | 0.966059i | \(-0.583169\pi\) | ||||
−0.258321 | + | 0.966059i | \(0.583169\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.43237 | − | 7.67709i | −0.166227 | − | 0.287913i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.82103 | − | 3.15412i | 0.0681982 | − | 0.118123i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.37506 | + | 7.79835i | 0.0514243 | + | 0.291642i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 12.0296 | − | 20.8359i | 0.449254 | − | 0.778131i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.4312 | + | 13.7874i | −0.612780 | + | 0.514183i | −0.895525 | − | 0.445012i | \(-0.853199\pi\) |
0.282745 | + | 0.959195i | \(0.408755\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.240422 | + | 1.36350i | −0.00895380 | + | 0.0507795i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.06800 | − | 2.93651i | −0.300052 | − | 0.109210i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −59.8487 | + | 50.2190i | −2.22272 | + | 1.86509i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −37.2519 | + | 13.5586i | −1.38160 | + | 0.502860i | −0.922662 | − | 0.385610i | \(-0.873991\pi\) |
−0.458934 | + | 0.888470i | \(0.651769\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.26291 | + | 1.18760i | 0.120683 | + | 0.0439250i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.2938 | − | 8.63754i | −0.380211 | − | 0.319035i | 0.432574 | − | 0.901598i | \(-0.357605\pi\) |
−0.812785 | + | 0.582564i | \(0.802050\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −18.3254 | − | 15.3768i | −0.675941 | − | 0.567182i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.70523 | + | 15.3421i | −0.0996486 | + | 0.565135i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.69479 | 0.356629 | 0.178314 | − | 0.983974i | \(-0.442936\pi\) | ||||
0.178314 | + | 0.983974i | \(0.442936\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.41792 | −0.0888246 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.07447 | + | 23.1075i | −0.149478 | + | 0.847730i | 0.814184 | + | 0.580606i | \(0.197184\pi\) |
−0.963662 | + | 0.267124i | \(0.913927\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.8261 | − | 19.1534i | −0.836283 | − | 0.701724i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.837797 | + | 0.702995i | 0.0306534 | + | 0.0257212i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.20255 | − | 1.16563i | −0.117019 | − | 0.0425913i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.75762 | + | 16.9007i | 0.356061 | + | 0.616715i | 0.987299 | − | 0.158874i | \(-0.0507864\pi\) |
−0.631238 | + | 0.775589i | \(0.717453\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 16.8454 | − | 6.13123i | 0.613881 | − | 0.223434i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 48.9089 | − | 41.0395i | 1.77998 | − | 1.49358i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.83714 | − | 1.76058i | −0.175809 | − | 0.0639892i | 0.252616 | − | 0.967567i | \(-0.418709\pi\) |
−0.428425 | + | 0.903577i | \(0.640931\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.397853 | + | 2.25634i | −0.0144412 | + | 0.0818999i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.1514 | + | 28.6564i | −1.23799 | + | 1.03880i | −0.240309 | + | 0.970696i | \(0.577249\pi\) |
−0.997679 | + | 0.0680989i | \(0.978307\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.20941 | + | 2.09476i | −0.0437836 | + | 0.0758353i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.47246 | − | 8.35072i | −0.0532368 | − | 0.301921i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.25631 | + | 2.17600i | −0.0453628 | + | 0.0785707i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.08877 | + | 1.88581i | 0.0392622 | + | 0.0680042i | 0.884989 | − | 0.465612i | \(-0.154166\pi\) |
−0.845727 | + | 0.533617i | \(0.820833\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.4705 | 0.809257 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.52475 | + | 3.10275i | −0.306614 | + | 0.111598i | −0.490745 | − | 0.871303i | \(-0.663275\pi\) |
0.184131 | + | 0.982902i | \(0.441053\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.36824 | − | 41.7874i | −0.264675 | − | 1.50105i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.62002 | + | 0.495335i | −0.165742 | + | 0.0177700i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.91264 | + | 16.5184i | 0.104356 | + | 0.591833i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 23.7332 | − | 8.63818i | 0.849241 | − | 0.309098i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.77869 | −0.313725 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −30.1160 | − | 52.1625i | −1.07489 | − | 1.86176i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.5744 | + | 20.0475i | −0.412584 | + | 0.714616i | −0.995171 | − | 0.0981518i | \(-0.968707\pi\) |
0.582588 | + | 0.812768i | \(0.302040\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.26560 | + | 18.5202i | 0.116259 | + | 0.659335i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.18398 | + | 8.97891i | −0.184321 | + | 0.319253i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.176441 | − | 0.148051i | 0.00626559 | − | 0.00525746i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.76742 | − | 10.0235i | 0.0626839 | − | 0.355498i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 33.2727 | + | 12.1103i | 1.17858 | + | 0.428968i | 0.855700 | − | 0.517472i | \(-0.173127\pi\) |
0.322879 | + | 0.946440i | \(0.395349\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 19.5253 | − | 16.3837i | 0.690756 | − | 0.579613i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.154515 | − | 0.0562387i | 0.00545950 | − | 0.00198710i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −13.9208 | − | 24.1115i | −0.491254 | − | 0.850877i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.04427 | + | 0.744052i | 0.0720510 | + | 0.0262244i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.9025 | − | 9.14824i | −0.383785 | − | 0.322033i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.77841 | + | 4.00957i | 0.168000 | + | 0.140969i | 0.722912 | − | 0.690941i | \(-0.242803\pi\) |
−0.554911 | + | 0.831909i | \(0.687248\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.74244 | − | 9.88186i | 0.0611853 | − | 0.346999i | −0.938811 | − | 0.344432i | \(-0.888072\pi\) |
0.999997 | − | 0.00256748i | \(-0.000817255\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.80027 | −0.133281 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −40.0805 | −1.40396 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.905186 | − | 5.13356i | 0.0316684 | − | 0.179601i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.414382 | + | 0.347708i | 0.0144797 | + | 0.0121499i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.98243 | + | 7.53716i | 0.313489 | + | 0.263049i | 0.785932 | − | 0.618313i | \(-0.212183\pi\) |
−0.472443 | + | 0.881361i | \(0.656628\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 44.1166 | + | 16.0571i | 1.53781 | + | 0.559716i | 0.965518 | − | 0.260335i | \(-0.0838331\pi\) |
0.572290 | + | 0.820052i | \(0.306055\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.3465 | + | 23.1169i | 0.464667 | + | 0.804827i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 26.6774 | − | 9.70977i | 0.927663 | − | 0.337642i | 0.166380 | − | 0.986062i | \(-0.446792\pi\) |
0.761283 | + | 0.648420i | \(0.224570\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.9001 | − | 13.3418i | 0.552234 | − | 0.463380i | −0.323463 | − | 0.946241i | \(-0.604847\pi\) |
0.875697 | + | 0.482861i | \(0.160403\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −25.1470 | − | 9.15274i | −0.872338 | − | 0.317505i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.53419 | − | 14.3721i | 0.0878044 | − | 0.497964i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.11227 | − | 7.64610i | 0.315343 | − | 0.264604i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.38392 | − | 4.12908i | 0.0824005 | − | 0.142722i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 2.35129 | + | 13.3348i | 0.0811755 | + | 0.460369i | 0.998117 | + | 0.0613463i | \(0.0195394\pi\) |
−0.916941 | + | 0.399023i | \(0.869349\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.0327 | + | 41.6258i | −0.828712 | + | 1.43537i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −6.66865 | − | 11.5504i | −0.229681 | − | 0.397818i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −46.5973 | −1.60299 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.43841 | + | 0.523538i | −0.0494243 | + | 0.0179890i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −5.09677 | − | 28.9052i | −0.174921 | − | 0.992024i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.17199 | + | 2.04560i | −0.143014 | + | 0.0701224i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.65996 | + | 9.41412i | 0.0568361 | + | 0.322333i | 0.999949 | − | 0.0101404i | \(-0.00322784\pi\) |
−0.943113 | + | 0.332474i | \(0.892117\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −11.9621 | + | 4.35385i | −0.409095 | + | 0.148898i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 23.1848 | 0.791977 | 0.395988 | − | 0.918255i | \(-0.370402\pi\) | ||||
0.395988 | + | 0.918255i | \(0.370402\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.41234 | + | 9.37444i | 0.184667 | + | 0.319852i | 0.943464 | − | 0.331475i | \(-0.107546\pi\) |
−0.758798 | + | 0.651327i | \(0.774213\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.87625 | − | 3.24976i | 0.0639425 | − | 0.110752i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 6.71512 | + | 38.0833i | 0.228585 | + | 1.29637i | 0.855711 | + | 0.517453i | \(0.173120\pi\) |
−0.627126 | + | 0.778918i | \(0.715769\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 23.8964 | − | 41.3898i | 0.812503 | − | 1.40730i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.06001 | + | 7.60225i | −0.307694 | + | 0.258186i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.61704 | + | 26.1846i | −0.156622 | + | 0.888250i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.45633 | + | 1.25800i | 0.117113 | + | 0.0426257i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.75476 | − | 5.66792i | 0.228614 | − | 0.191830i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 10.4360 | − | 3.79839i | 0.352801 | − | 0.128409i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.74892 | + | 16.8856i | 0.329198 | + | 0.570187i | 0.982353 | − | 0.187037i | \(-0.0598885\pi\) |
−0.653155 | + | 0.757224i | \(0.726555\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.0479 | + | 7.66079i | 0.709927 | + | 0.258392i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.4241 | + | 23.0116i | 0.923943 | + | 0.775280i | 0.974720 | − | 0.223430i | \(-0.0717253\pi\) |
−0.0507770 | + | 0.998710i | \(0.516170\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.06569 | − | 1.73332i | −0.0695160 | − | 0.0583309i | 0.607368 | − | 0.794421i | \(-0.292226\pi\) |
−0.676884 | + | 0.736090i | \(0.736670\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.29709 | + | 13.0274i | −0.0772157 | + | 0.437912i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 43.6571 | 1.46586 | 0.732931 | − | 0.680303i | \(-0.238152\pi\) | ||||
0.732931 | + | 0.680303i | \(0.238152\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.76917 | 0.327647 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.520832 | + | 2.95379i | −0.0174485 | + | 0.0989556i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −29.3121 | − | 24.5958i | −0.980892 | − | 0.823066i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −51.8527 | − | 43.5096i | −1.73324 | − | 1.45436i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.508315 | + | 0.185012i | 0.0169722 | + | 0.00617736i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −20.9277 | − | 36.2479i | −0.697979 | − | 1.20893i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.83479 | − | 2.12369i | 0.194385 | − | 0.0707504i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.893360 | + | 0.749618i | −0.0297292 | + | 0.0249457i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −26.3015 | − | 9.57296i | −0.874291 | − | 0.318216i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.72048 | + | 38.1138i | −0.223150 | + | 1.26555i | 0.643040 | + | 0.765832i | \(0.277673\pi\) |
−0.866190 | + | 0.499714i | \(0.833438\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.8667 | + | 11.6355i | −0.459929 | + | 0.385927i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.3908 | − | 40.5140i | 0.774971 | − | 1.34229i | −0.159840 | − | 0.987143i | \(-0.551098\pi\) |
0.934811 | − | 0.355146i | \(-0.115569\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.569617 | − | 3.23046i | −0.0188516 | − | 0.106913i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.606309 | − | 1.05016i | 0.0200440 | − | 0.0347172i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.05386 | + | 12.2176i | 0.232939 | + | 0.403462i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.8141 | 0.422699 | 0.211350 | − | 0.977411i | \(-0.432214\pi\) | ||||
0.211350 | + | 0.977411i | \(0.432214\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 14.0328 | − | 5.10754i | 0.462398 | − | 0.168299i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.03546 | − | 5.87241i | −0.0340827 | − | 0.193293i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.9151 | + | 49.4999i | −0.720565 | + | 1.62755i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.314738 | + | 1.78497i | 0.0103374 | + | 0.0586261i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −25.7372 | + | 9.36759i | −0.844412 | + | 0.307341i | −0.727760 | − | 0.685832i | \(-0.759438\pi\) |
−0.116652 | + | 0.993173i | \(0.537216\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −21.9087 | −0.718030 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.33328 | − | 2.30930i | −0.0436495 | − | 0.0756032i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.7166 | + | 22.0258i | −0.415877 | + | 0.720320i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.01203 | − | 39.7672i | −0.229073 | − | 1.29914i | −0.854744 | − | 0.519050i | \(-0.826286\pi\) |
0.625671 | − | 0.780087i | \(-0.284825\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.621472 | + | 1.07642i | −0.0202810 | + | 0.0351277i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 43.4106 | − | 36.4258i | 1.41514 | − | 1.18745i | 0.461262 | − | 0.887264i | \(-0.347397\pi\) |
0.953882 | − | 0.300183i | \(-0.0970477\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.651615 | − | 3.69550i | 0.0212195 | − | 0.120342i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.67616 | + | 0.974043i | 0.0870556 | + | 0.0316856i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −31.3693 | + | 26.3219i | −1.01936 | + | 0.855348i | −0.989548 | − | 0.144207i | \(-0.953937\pi\) |
−0.0298170 | + | 0.999555i | \(0.509492\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.17695 | + | 2.24823i | −0.200512 | + | 0.0729805i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.9575 | − | 27.6393i | −0.517459 | − | 0.896265i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 17.5298 | + | 6.38031i | 0.567845 | + | 0.206679i | 0.609957 | − | 0.792434i | \(-0.291187\pi\) |
−0.0421126 | + | 0.999113i | \(0.513409\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −55.2158 | − | 46.3316i | −1.78674 | − | 1.49925i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 20.1702 | + | 16.9248i | 0.652011 | + | 0.547102i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.17134 | − | 12.3143i | 0.0701162 | − | 0.397649i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.26762 | −0.266697 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −4.46154 | −0.143771 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.02785 | + | 11.5005i | −0.0652788 | + | 0.370215i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.72543 | + | 5.64331i | 0.216275 | + | 0.181477i | 0.744489 | − | 0.667635i | \(-0.232693\pi\) |
−0.528213 | + | 0.849112i | \(0.677138\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.94902 | − | 4.99182i | −0.191110 | − | 0.160360i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 27.0784 | + | 9.85575i | 0.868989 | + | 0.316286i | 0.737758 | − | 0.675066i | \(-0.235885\pi\) |
0.131231 | + | 0.991352i | \(0.458107\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.16721 | − | 2.02166i | −0.0374189 | − | 0.0648115i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 5.92215 | − | 2.15549i | 0.189660 | − | 0.0690308i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 19.2400 | − | 16.1443i | 0.615543 | − | 0.516502i | −0.280856 | − | 0.959750i | \(-0.590618\pi\) |
0.896399 | + | 0.443248i | \(0.146174\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.463444 | − | 0.168680i | −0.0148117 | − | 0.00539103i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.549855 | + | 3.11838i | −0.0175555 | + | 0.0995623i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 43.9027 | − | 36.8387i | 1.40028 | − | 1.17497i | 0.439302 | − | 0.898339i | \(-0.355226\pi\) |
0.960976 | − | 0.276633i | \(-0.0892187\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.02460 | − | 6.97081i | 0.128234 | − | 0.222109i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.48651 | + | 8.43042i | 0.0473162 | + | 0.268343i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.583099 | + | 1.00996i | −0.0185415 | + | 0.0321148i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.3498 | − | 35.2469i | −0.646433 | − | 1.11966i | −0.983968 | − | 0.178342i | \(-0.942927\pi\) |
0.337535 | − | 0.941313i | \(-0.390407\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 24.6637 | 0.782677 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −87.0644 | + | 31.6889i | −2.76013 | + | 1.00460i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.17373 | + | 40.6843i | 0.227194 | + | 1.28848i | 0.858445 | + | 0.512905i | \(0.171431\pi\) |
−0.631251 | + | 0.775579i | \(0.717458\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.46157 | + | 2.67791i | −0.172797 | + | 0.0847254i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 888.2.bo.c.601.4 | ✓ | 24 | |
37.33 | even | 9 | inner | 888.2.bo.c.625.4 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
888.2.bo.c.601.4 | ✓ | 24 | 1.1 | even | 1 | trivial | |
888.2.bo.c.625.4 | yes | 24 | 37.33 | even | 9 | inner |